Another 31 people have been arrested during opposition protests in Moscow, the second Sunday in succession to see such demonstrations.
Last week, at least 1,000 people were detained during protests in Moscow, reportedly the largest in five years.
Russian opposition has called for the resignation of PM Dmitry Medvedev over corruption allegations.
A smaller group of about 100 people began marching through Moscow on April 2, but were blocked by police.
While police said 31 people had been arrested for “breaches of public order”, OVD-Info, a website monitoring detentions, said 56 people including four minors were arrested.
Those who organized the protest via social media are now facing an investigation.
March 26 demonstrations in Moscow and across Russia were prompted by main opposition leader Alexei Navalny, who was later arrested.
Police said 500 people were held, but OVD-Info said at least 1,000 people were arrested in Moscow alone.
Alexei Navalny had published reports claiming that Dmitry Medvedev controlled mansions, yachts and vineyards – a fortune that far outstripped his official salary.
PM Dmitry Medvedev’s spokeswoman called the allegations “propagandistic attacks”, but the prime minister himself has not commented on the claims.
Alexei Navalny has announced his intention to run for president in 2018 against Vladimir Putin. However, he is barred from doing so after being found guilty in a case he said was politicized.
The opposition leader was sentenced to 15 days in prison for his role in March 26 demonstrations. His spokesman said on Twitter that he had nothing to do with the new protest.
Organizers told news agencies that they had planned to march towards the Kremlin on April 2 when they were stopped by police.
Russia’s Interfax news agency reported that about 400 people had taken part in an authorized anti-corruption rally in the Siberian city of Novosibirsk.